MEI Tasks for Casio Graphical Calculators
Introduction to Trigonometric Functions
A
Investigating the graph of y = sin x : Plotting the curve and tracing the
function
1. Open the Graphs screen and enter
Y1=sin X:
p5hfl
2. Set the View-Window to “Trig” and
Draw:
Lewdu
3. Trace the graph to investigate points:
Lq
Investigate the graphs of y = cos x and y = tan x.
List any properties that two of the three graphs share.
B
Solving sin x = 0.5 in the range –360° < x ≤ 720°
1. Open the Graphs screen and enter
Y1=sin X:
p5hfl
2. Enter Y2=0.5 and press Draw:
0.5lu
3. Use G-Solve to find the points of
intersection:
Lyy
4. The left and right cursors will move between them:
$$$$$
Solve the following functions in the range –360° < x ≤ 720°
cos x = 0.5
sin x = – 0.3
tan x = 3
Explain how you could find these solutions from the principal value.
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MEI Tasks for Casio Graphical Calculators
Transformations of Trigonometric Functions
C
Investigating the graph of y = A sin (Bx + C)
1. Open the Dynamic Graphs screen and
select y = A sin (Bx + C) from the
Built-In functions:
2.
p6yNNNNl
3. Open the Variables screen and set the
range for A (e.g. min –3, max 3, step
size 1):
rw-3l3l1
ld
4. Set B=1 and C=0:
N1l0l
5. Set the Playback speed to Normal and Draw:
eelu
To exit a dynamic graphs press O
To change the dynamic variable press q (select) on the variables screen.
How does changing A, B and C affect the graph of y = A sin (Bx + C) ?
Are these transformations the same for the graphs of y = A cos (Bx + C) and
y = A tan (Bx + C) ?
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